For an arbitrary Hilbert space 𝓔, the Segal–Bargmann space 𝓗(𝓔) is the reproducing kernel Hilbert space associated with the kernel K(x, y) = exp(〈x, y〉) for x, y in 𝓔. If φ : 𝓔₁ → 𝓔₂ is a ...

We prove that any composition operator with maximal norm on one of the weighted Bergman spaces $A_{\alpha}^2$ (in particular, on the space $A^{2} = A_{0}^2$) is ...